Google is of little help when questioned about "factorization systems in a triangulated category". Are there informations about them? Are there "natural" (meaning: "obviously defined") OFS/WFS in a triangulated category or (better) in a stable $\infty$-category?

(Presenting the latter as a model category $\cal M$, OFS in $\operatorname{ho}\cal M$ are in correspondence with homotopy factorization systems in $\cal M$, and presenting it via a stable quasicategory $\cal C$ they correspond to quasicategorical factorization systems on $\cal C$. Is this point of view of any help?)

I tried to elaborate on the good old $(\textrm{Mono}, \textrm{Epi})$ or $(\textrm{Epi}, \textrm{Mono})$ factorizations, but any sensible definition of "epimorphism" and "monomorphism" in a triangulated/stable category turns out to be trivial in some sense (I can elaborate on this if necessary).